Octal

👁 DOWNLOAD Mathematica Notebook
Download Wolfram Notebook

The base 8 notational system for representing real numbers. The digits used are 0, 1, 2, 3, 4, 5, 6, and 7, so that 👁 8_(10)
(8 in base 10) is represented as 👁 10_8
(👁 10=1·8^1+0·8^0
) in base 8. The following table gives the octal equivalents of the first few decimal numbers.

1	1	11	13	21	25
2	2	12	14	22	26
3	3	13	15	23	27
4	4	14	16	24	30
5	5	15	17	25	31
6	6	16	20	26	32
7	7	17	21	27	33
8	10	18	22	28	34
9	11	19	23	29	35
10	12	20	24	30	36

The song "New Math" by Tom Lehrer (That Was the Year That Was, 1965) explains how to compute 👁 342-173
in octal. (The answer is 👁 342_8-173_8=147_8
.)

Explore with Wolfram|Alpha

👁 WolframAlpha

More things to try:

References

Lauwerier, H. Fractals: Endlessly Repeated Geometric Figures. Princeton, NJ: Princeton University Press, pp. 9-10, 1991.Wells, D. The Penguin Dictionary of Curious and Interesting Numbers. Middlesex, England: Penguin Books, pp. 72-73, 1986.

Referenced on Wolfram|Alpha

Octal

Cite this as:

Weisstein, Eric W. "Octal." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Octal.html

URL: https://mathworld.wolfram.com/Octal.html

⇱ Octal -- from Wolfram MathWorld

Octal

See also

Explore with Wolfram|Alpha

References

Referenced on Wolfram|Alpha

Cite this as:

Subject classifications

1	1	11	13	21	25
2	2	12	14	22	26
3	3	13	15	23	27
4	4	14	16	24	30
5	5	15	17	25	31
6	6	16	20	26	32
7	7	17	21	27	33
8	10	18	22	28	34
9	11	19	23	29	35
10	12	20	24	30	36

1	1	11	13	21	25
2	2	12	14	22	26
3	3	13	15	23	27
4	4	14	16	24	30
5	5	15	17	25	31
6	6	16	20	26	32
7	7	17	21	27	33
8	10	18	22	28	34
9	11	19	23	29	35
10	12	20	24	30	36

1	1	11	13	21	25
2	2	12	14	22	26
3	3	13	15	23	27
4	4	14	16	24	30
5	5	15	17	25	31
6	6	16	20	26	32
7	7	17	21	27	33
8	10	18	22	28	34
9	11	19	23	29	35
10	12	20	24	30	36